Prime p₀= 2332917870721988519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 28 2 34 2 142 2 (?)
a_n: 0 2 30 32 72 74 102 104 132 134 168 170 312 314
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 314
Found by: Landjunge
db: batch=81, k=14, 28 40 28 28 34 142

SPT(16)	2332915494096967099	0 22 40 42 82 88 94 102 130 138 144 150 190 192 210 232	-2376625021420
STPT(10)	2332915677775916381	0 2 36 38 78 80 120 122 156 158	-2192946072138
STPT(10)	2332916896107586697	0 2 30 32 42 44 54 56 84 86	-974614401822
SPT(16)	2332917572826664069	0 10 28 52 72 82 100 114 148 162 180 190 210 234 252 262	-297895324450
TPT(14)	2332917713656500077	0 2 30 32 120 122 132 134 240 242 252 254 384 386	-157065488442
SPT(13)	2332917754744143107	0 30 66 84 90 144 150 156 210 216 234 270 300	-115977845412
STPT(10)	2332918201872244079	0 2 42 44 60 62 78 80 120 122	331150255560
STPT(10)	2332918340735891957	0 2 42 44 72 74 102 104 144 146	470013903438
STPT(10)	2332918362926016161	0 2 6 8 18 20 30 32 36 38	492204027642
SPT(16)	2332918385229328423	0 16 18 46 88 118 148 156 190 198 228 258 300 328 330 346	514507339904
STPT(10)	2332918470651797849	0 2 42 44 60 62 78 80 120 122	599929809330